First Principles Calculation of the Topological Phases of the Photonic Haldane Model

Photonic topological materials with a broken time-reversal symmetry are characterized by nontrivial topological phases, such that they do not support propagation in the bulk region but forcibly support a nontrivial net number of unidirectional edge-states when enclosed by an opaque-type boundary, e....

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Autores principales:	Filipa R. Prudêncio, Mário G. Silveirinha
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	topological materials Green’s function Haldane model Tellegen materials Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/9dc7be774e1d42e5ab0b7db484a3d93f
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id	oai:doaj.org-article:9dc7be774e1d42e5ab0b7db484a3d93f
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spelling	oai:doaj.org-article:9dc7be774e1d42e5ab0b7db484a3d93f2021-11-25T19:07:49ZFirst Principles Calculation of the Topological Phases of the Photonic Haldane Model10.3390/sym131122292073-8994https://doaj.org/article/9dc7be774e1d42e5ab0b7db484a3d93f2021-11-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2229https://doaj.org/toc/2073-8994Photonic topological materials with a broken time-reversal symmetry are characterized by nontrivial topological phases, such that they do not support propagation in the bulk region but forcibly support a nontrivial net number of unidirectional edge-states when enclosed by an opaque-type boundary, e.g., an electric wall. The Haldane model played a central role in the development of topological methods in condensed-matter systems, as it unveiled that a broken time-reversal symmetry is the essential ingredient to have a quantized electronic Hall phase. Recently, it was proved that the magnetic field of the Haldane model can be imitated in photonics with a spatially varying pseudo-Tellegen coupling. Here, we use Green’s function method to determine from “first principles” the band diagram and the topological invariants of the photonic Haldane model, implemented as a Tellegen photonic crystal. Furthermore, the topological phase diagram of the system is found, and it is shown with first principles calculations that the granular structure of the photonic crystal can create nontrivial phase transitions controlled by the amplitude of the pseudo-Tellegen parameter.Filipa R. PrudêncioMário G. SilveirinhaMDPI AGarticletopological materialsGreen’s functionHaldane modelTellegen materialsMathematicsQA1-939ENSymmetry, Vol 13, Iss 2229, p 2229 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	topological materials Green’s function Haldane model Tellegen materials Mathematics QA1-939
spellingShingle	topological materials Green’s function Haldane model Tellegen materials Mathematics QA1-939 Filipa R. Prudêncio Mário G. Silveirinha First Principles Calculation of the Topological Phases of the Photonic Haldane Model
description	Photonic topological materials with a broken time-reversal symmetry are characterized by nontrivial topological phases, such that they do not support propagation in the bulk region but forcibly support a nontrivial net number of unidirectional edge-states when enclosed by an opaque-type boundary, e.g., an electric wall. The Haldane model played a central role in the development of topological methods in condensed-matter systems, as it unveiled that a broken time-reversal symmetry is the essential ingredient to have a quantized electronic Hall phase. Recently, it was proved that the magnetic field of the Haldane model can be imitated in photonics with a spatially varying pseudo-Tellegen coupling. Here, we use Green’s function method to determine from “first principles” the band diagram and the topological invariants of the photonic Haldane model, implemented as a Tellegen photonic crystal. Furthermore, the topological phase diagram of the system is found, and it is shown with first principles calculations that the granular structure of the photonic crystal can create nontrivial phase transitions controlled by the amplitude of the pseudo-Tellegen parameter.
format	article
author	Filipa R. Prudêncio Mário G. Silveirinha
author_facet	Filipa R. Prudêncio Mário G. Silveirinha
author_sort	Filipa R. Prudêncio
title	First Principles Calculation of the Topological Phases of the Photonic Haldane Model
title_short	First Principles Calculation of the Topological Phases of the Photonic Haldane Model
title_full	First Principles Calculation of the Topological Phases of the Photonic Haldane Model
title_fullStr	First Principles Calculation of the Topological Phases of the Photonic Haldane Model
title_full_unstemmed	First Principles Calculation of the Topological Phases of the Photonic Haldane Model
title_sort	first principles calculation of the topological phases of the photonic haldane model
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/9dc7be774e1d42e5ab0b7db484a3d93f
work_keys_str_mv	AT filiparprudencio firstprinciplescalculationofthetopologicalphasesofthephotonichaldanemodel AT mariogsilveirinha firstprinciplescalculationofthetopologicalphasesofthephotonichaldanemodel
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First Principles Calculation of the Topological Phases of the Photonic Haldane Model

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